857 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Hungarian Academy of SciencesHU402 papers
- Eötvös Loránd UniversityHU156 papers
- Budapest University of Technology and EconomicsHU58 papers
- Central European UniversityAT42 papers
- École Polytechnique Fédérale de LausanneCH31 papers
- Central European University - Budapest Campus24 papers
- University of PannoniaHU23 papers
- Centre National de la Recherche ScientifiqueFR21 papers
- University College LondonGB20 papers
- University of SzegedHU20 papers
- University of Illinois Urbana-ChampaignUS18 papers
- Charles UniversityCZ15 papers
21 papers · 1 filter
Tail behaviour of multiple random integrals and U-statistics
Peter Major
This paper contains sharp estimates about the distribution of multiple random integrals of functions of several variables with respect to a normalized empirical measure, about the…
Colorful subgraphs in Kneser-like graphs
Gábor Simonyi, Gábor Tardos
Combining Ky Fan's theorem with ideas of Greene and Matousek we prove a generalization of Dol'nikov's theorem. Using another variant of the Borsuk-Ulam theorem due to Bacon and Tuc…
The Strong Approximation Conjecture holds for amenable groups
Gabor Elek
We prove that the approximation conjecture of Luck holds for all amenable groups in the complex group algebra case. This result was previously proved by Dodziuk, Linnell, Mathai, S…
Typical separating invariants
M. Domokos
It is shown that a trivial version of polarization is sufficient to produce separating systems of polynomial invariants: if two points in the direct sum of the --modules and…
A Weierstrass-type theorem for homogeneous polynomials
David Benko, Andras Kroo
By the celebrated Weierstrass Theorem the set of algebraic polynomials is dense in the space of continuous functions on a compact set in R^d. In this paper we study the following q…
Prime values of reducible polynomials, II
Yong-Gao Chen, Gabor Kun, Gabor Pete +2
The Schinzel hypothesis claims (but it seems hopeless to prove) that any irreducible Q[x] polynomial without a constant factor assumes infinitely many prime values at integer place…
Weak convergence of finite graphs, integrated density of states and a Cheeger type inequality
Gábor Elek
In \cite{Elek} we proved that the limit of a weakly convergent sequence of finite graphs can be viewed as a graphing or a continuous field of infinite graphs. Thus one can associat…
A comparative analysis of Bernstein type estimates for the derivative of multivariate polynomials
Szilard Gy. Revesz
We compare the yields of two methods to obtain Bernstein type pointwise estimates for the derivative of a multivariate polynomial in points of some domain, where the polynomial is…
Decomposition as the sum of invariant functions with respect to commuting transformations
Balint Farkas, Szilard Revesz
Let A be an arbitrary set. For any transformation T (self-map of A) let T(f)(x):=f(T(x)) (for all x in A) be the usual shift operator. A function g is called periodic, i.e., invari…
Rendezvous numbers in normed spaces
Balint Farkas, Szilard Gy. Revesz
In previous papers, we used abstract potential theory, as developed by Fuglede and Ohtsuka, to a systematic treatment of rendezvous numbers. We introduced energies, Chebyshev const…
Thomas rotation and Thomas precession
T. Matolcsi, M. Matolcsi
Exact and simple calculation of Thomas rotation and Thomas precessions along a circular world line is presented in an absolute (coordinate-free) formulation of special relativity.…
A Note on the Size of the Largest Ball Inside a Convex Polytope
Imre Barany, Nandor Simanyi
Let be an integer, the set of all unit vectors of pointing in the direction of a nonzero integer vector of the cube . Denote by the radius o…
Freiman's Theorem in an arbitrary abelian group
Ben Green, Imre Z. Ruzsa
A famous result of Freiman describes the structure of finite sets A of integers with small doubling property. If |A + A| <= K|A| then A is contained within a multidimensional arith…
Heavy points of a d-dimensional simple random walk
Endre Csáki, Antónia Földes, Pál Révész
For a simple symmetric random walk in dimension , a uniform strong law of large numbers is proved for the number of sites with given local time up to time .
Twin Paradox and the logical foundation of relativity theory
Judit X. Madarasz, Istvan Nemeti, Gergely Szekely
We study the foundation of space-time theory in the framework of first-order logic (FOL). Since the foundation of mathematics has been successfully carried through (via set theory)…
Closures of exponential families
Imre Csiszar, Frantisek Matus
The variation distance closure of an exponential family with a convex set of canonical parameters is described, assuming no regularity conditions. The tools are the concepts of con…
Rendezvous numbers of metric spaces - a potential theoretic approach
Balint Farkas, Szilard Gy. Revesz
The present work draws on the understanding how notions of general potential theory - as set up, e.g., by Fuglede - explain existence and some basic results on the "magical" rendez…
Potential theoretic approach to rendezvous numbers
Balint Farkas, Szilard Gy. Revesz
We analyze relations between various forms of energies (reciprocal capacities), the transfinite diameter, various Chebyshev constants and the so-called rendezvous or average number…
The degree of the discriminant of irreducible representations
L. M. Feher, A. Nemethi, R. Rimanyi
We present a formula for the degree of the discriminant of irreducible representations of a Lie group, in terms of the roots of the group and the highest weight of the representati…
Local chromatic number and distinguishing the strength of topological obstructions
Gábor Simonyi, Gábor Tardos, Siniša T. Vrećica
The local chromatic number of a graph G is the number of colors appearing in the most colorful closed neighborhood of a vertex minimized over all proper colorings of G. We show tha…
A free analogue of the transportation cost inequality on the circle
F. Hiai, D. Petz
We give a new proof of the free transportation cost inequality for measures on the circle following M. Ledoux's idea.